6 Results Found

The topic concerning the introduction and investigation of new classes of analytic functions using subordination techniques for obtaining certain geometric properties alongside coefficient estimates and inclusion relations is enriched by the results...

Applying the operator of $\mathfrak{q}$-difference, we examine the convolution properties of the subclasses ${\mathcal{MS}}_{\zeta ,\mathfrak{q}}^{r,p}(\mathcal{A},\mathcal{B})$ and $\mathcal{M}{\mathfrak{K}}_{\zeta ,\mathfrak{q}}^{r,p}(\mathcal{A},\mathcal{B})$ of p-valent meromorphic functions defined in the punctured open-unit disc. We derived specific inclusion features...

The results obtained by the authors in the present paper refer to quantum calculus applications regarding the theories of differential subordination and superordination. These results are established by means of an operator defined as the q-analogue...

In this work, we describe the $\mathfrak{q}$-analogue of a multiplier–Ruscheweyh operator of a specific family of linear operators ${\mathfrak{I}}_{\mathfrak{q},\rho }^s(\nu ,\tau )$, and we obtain findings related to geometric function theory (GFT) by utilizing approaches established t...

This paper explores the properties of multipliers associated with discrete analogues of fractional integrals, revealing intriguing connections with Dirichlet characters, Euler’s identity, and Dedekind zeta functions of quadratic imaginary field...

In this paper, we introduce and systematically study a new two-parameter family of affine $(q,\eta )$-Gould–Hopper-based Appell polynomials. These polynomials arise by fusing the affine $(q,\eta )$-exponential Gould–Hopper kernel with an inve...